Write the Following Limit as a Definite Integral on the Interval

question 17

Multiple Choice

Write the following limit as a definite integral on the interval $[ 2,8 ] \text { where } c _ { i } \text { is any }$ point in the $i ^ { \text {th } } \text { subinterval. }$ $$\lim _ { | \Delta x | \rightarrow 0 } \sum _ { i = 1 } ^ { n } \sqrt { 3 c _ { i } ^ { 2 } + 4 c _ { i } } \Delta x _ { i }$$

• A) \(\int _ { 2 } ^ { 8 } \sqrt { 3 x ^ { 2 } + 4 x } d x\)
• B) \(\int _ { 2 } ^ { 8 } \sqrt { 9 x ^ { 2 } + 16 x } d x\)
• C) \(\int _ { 8 } ^ { 2 } \sqrt { 3 x ^ { 2 } + 4 x } d x\)
• D) \(\int _ { 2 } ^ { 8 } \sqrt { 3 x + 4 } d x\)
• E) \(\int _ { 2 } ^ { 8 } \sqrt { 6 x + 4 } d x\)

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